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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

6 Issues per year


IMPACT FACTOR increased in 2014: 0.880
Rank 74 out of 310 in category Mathematics and 113 out of 255 in Applied Mathematics in the 2014 Thomson Reuters Journal Citation Report/Science Edition

SCImago Journal Rank (SJR) 2014: 0.516
Source Normalized Impact per Paper (SNIP) 2014: 1.430
Impact per Publication (IPP) 2014: 0.613

Mathematical Citation Quotient (MCQ) 2014: 0.51

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Linear ill-posed problems on sets of convex functions on two-dimensional sets

V. Titarenko / A. Yagola

Department of Mathematics, Faculty of Physics, Moscow State University, Vorobyevy Gory, 119992, Moscow, Russia. E-mails: ,

Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 14, Issue 7, Pages 735–750, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: 10.1515/156939406779801988,

Publication History

Published Online:

Linear ill-posed problems written as the operator equation A = on sets of functions z convex on multi-dimensional sets Ω are considered in the paper. A regularizing algorithm zη = R(A h, uδ, η), where ||A hA|| ≤ h, ||uδ|| ≤ δ, η = (h,δ), obtained in the previous papers for line segments is generalized such that the approximate solution zη tends to the exact one uniformly on some subsets of the domain Ω. The algorithms to estimate an error of finite dimensional approximation and to find a lower z l and an upper z u functions that bound all approximation solutions are provided.

Citing Articles

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[1]
Yury Korolev and Anatoly Yagola
Inverse Problems, 2013, Volume 29, Number 9, Page 095012
[2]
Weifeng Xia and Yuming Chu
Acta Mathematica Scientia, 2011, Volume 31, Number 3, Page 1103
[3]
V. Titarenko and A. Yagola
Journal of Inverse and Ill-posed Problems, 2008, Volume 16, Number 6

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